Answer:
9. 5 Hours
Step-by-step explanation:
8:30 AM to 12:00 PM = 3.5 hours
12:00 PM to 6:00 PM = 6 hours
Total = 6 + 3.5 = 9.5 hours
Hope this answer helps you :)
Have a great day
Mark Brainliest
Answer:
<em>y=2 cos (π/4x-π/4)</em>
Step-by-step explanation:
<em>Given</em>
<em>A cosine function has an amplitude of 2, a midline of 5 and a period of 8.</em>
<em>To find: </em>
<em>A cosine function.</em>
<em>Explanation:</em>
<em>Let the function be,</em>
<em></em>
<em>Since amplitude is 2.</em>
<em>Then,</em>
<em></em>
<em>Also, since the period is 8.</em>
<em>Then,</em>
<em></em>

<em>And, since midline is 5.</em>
<em>Hence, the cosine function is,</em>
<em>y=2 cos (</em>
<em>x-</em>
<em></em>
Answer:
x = √5 + 4 , -√5 + 4
Step-by-step explanation:
3(x - 4)^2 = 15
/3 /3 (divide both sides by 3)
----------------------
(x - 4)^2 = 5
(x−4)^2⋅1/2 = ±√5 (take square root of both sides)
x - 4 = ±√5 (add 4 on both sides)
+ +4
-----------------
x = √5 + 4 , x = -√5 + 4
2y² + y - 3
(2y+3)(y-1)
2y(y-1) + 3(y-1)
2y² - 2y + 3y - 3
2y² + y - 3
2y + 3 = 0
2y = -3
y = -3/2
y = -1 1/2
y - 1 = 0
y = 1
2y² + y - 3 = 0
2(-3/2)² + (-3/2) - 3 = 0
2(9/4) - 3/2 - 3 = 0
18/4 - 3/2 - 3 = 0
18/4 - (3/2 * 2/2) - 3(4/4) = 0
18/4 - 6/4 - 12/4 = 0
(18 - 6 - 12)/4 = 0
(18 -18)/4 = 0
0/4 = 0
0 = 0